Functional Analysis, Sobolev Spaces and Partial Differential Equations

by Haïm Brézis

Cet ouvrage de niveau Master 1 est la référence en matière d'analyse fonctionnelle. Il en détaille la théorie de façon exhaustive, et en décrit les principales applications. La 1re édition de ce livre paru en 1994 sous marque Masson dans la prestigieuse collection «Mathématiques Appliquées pour la Maîtrise».

Genres: Mathematics, Functional Analysis, Science, Textbooks

614 pages, Kindle Edition

First published January 1, 1983

Reviews

[Alek Frohlich · Rating 4 out of 5]

The book presuposes a background in Measure Theory and some Functional Analysis.

We used it at a summer course (IMPA Functional Analysis 2023) complemented with another more acessible book and I must say I really liked the combo. We could enjoy a wide veriety of exercises and still get a good grasp of the underlying theory.

Brezis on its own makes for a poor introduction to FA as most of the exercises are very specific and shed little to no insight in FA.

I must also say some of the problems at the end of the book are very fun (there is an exercise section after each chapter and a long list of problems at the end of the book)

[Bahidi Fatima]

,,h-j